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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

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Always the Same

Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number. Cross out the numbers on the same row and column. Repeat this process. Add up you four numbers. Why do they always add up to 34?

Your Number Is...

Age 11 to 14 Challenge Level:

Press the start button and see what happens:

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Now try again starting with a different number.

Try again.

Try starting with a fraction.. or decimal... or negative number...

Why is the answer ALWAYS the same?

Can you design instructions for similar machines of your own?
You may want to take a look at  Your Number Was... for a suitable follow-up activity.